Moduli of curves : CIMAT Guanajuato, Mexico 2016
著者
書誌事項
Moduli of curves : CIMAT Guanajuato, Mexico 2016
（Lecture notes of the Unione matematica italiana, 21）
Springer, c2017
- : [pbk.]
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注記
Other editors: Ciro Ciliberto, Eduardo Esteves, Margarida Melo, Claire Voisin
"The present volume collects some of the lecture notes of a CIMPA-ICTP school on 'Moduli of Curves,' which took place at CIMAT, Guanajuato, Mexico, in the 2 weeks from February 22 to March 4, 2016"--Pref
Includes bibliographical references
内容説明・目次
内容説明
Providing a timely description of the present state of the art of moduli spaces of curves and their geometry, this volume is written in a way which will make it extremely useful both for young people who want to approach this important field, and also for established researchers, who will find references, problems, original expositions, new viewpoints, etc. The book collects the lecture notes of a number of leading algebraic geometers and in particular specialists in the field of moduli spaces of curves and their geometry. This is an important subject in algebraic geometry and complex analysis which has seen spectacular developments in recent decades, with important applications to other parts of mathematics such as birational geometry and enumerative geometry, and to other sciences, including physics. The themes treated are classical but with a constant look to modern developments (see Cascini, Debarre, Farkas, and Sernesi's contributions), and include very new material, such as Bridgeland stability (see Macri's lecture notes) and tropical geometry (see Chan's lecture notes).
目次
Foreword.- Melody Chan: Lectures on Tropical Curves and their Moduli Spaces.- Paolo Cascini.- Lecture notes for the CIMPA school.- Olivier Debarre: Higher-Dimensional Varieties.- Gavril Farkas: Progress on Syzygies of algebraic Curves.- Emanuele Macri, Benjamin Schmidt: Lectures on Bridgeland Stability.- Edoardo Sernesi: Algebraic Curves and their Moduli.
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